Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#18011902 | C2 | semidirect |
| 3. #23749934 | C2 | semidirect |
| 4. #23749930 | C2 | semidirect |
| 5. #23749927 | C2 | semidirect |
| 6. #23749923 | C2 | semidirect |
| 7. #23749667 | C2 | semidirect |
| 8. #23749665 | C2 | semidirect |
| 9. #23749648 | C2 | semidirect |
| 135. C149 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011902 | 2 |
| #41×Dic149 | 2 |
| #23749934 | 2 |
| #23749930 | 2 |
| #23749927 | 2 |
| #23749923 | 2 |
| #23749667 | 2 |
| #23749665 | 2 |
| #23749648 | 2 |
| #23749626 | 2 |
| #417×C149 | 2 |
| #3080 | 149 |